{"id":"W2398755068","doi":"","title":"Minimum embedding of a K 3 -design into a balanced incomplete block design of index λ ≥ 2.","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Block (permutation group theory); Combinatorics; Lambda; Embedding; Order (exchange); Block design; Index (typography); Value (mathematics); Discrete mathematics; Statistics; Physics; Computer science","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002007642,0.0003868642,0.0002745659,0.0003456053,0.0003016174,0.0005378164,0.0002882371,0.0004205207,0.005175444],"category_scores_gemma":[0.0009691562,0.0003454074,0.0002735025,0.0003303744,0.0003453181,0.0007414137,0.0004454101,0.0003048661,0.000916615],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000510839,"about_ca_system_score_gemma":0.0004704166,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007631024,"about_ca_topic_score_gemma":0.001658741,"domain_scores_codex":[0.9997354,0.00006456493,0.00001658486,0.00005770076,0.00005806399,0.00006765721],"domain_scores_gemma":[0.9994499,0.0001499239,0.000149479,0.0001018461,0.00008415038,0.00006469822],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.002415815,0.0003678337,0.01135019,0.001190663,0.0001835363,0.001151319,0.0006868638,0.1530882,0.5087449,0.134521,0.007635431,0.1786643],"study_design_scores_gemma":[0.0004935803,0.003892748,0.01947097,0.0003223575,0.0003180016,0.003060765,0.0009970792,0.3849186,0.3164492,0.1853745,0.08456844,0.0001337022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.752605,0.0005088872,0.204006,0.000189697,0.00003592849,0.0001282355,0.001284483,0.0005691806,0.04067262],"genre_scores_gemma":[0.8481698,0.0001513344,0.1433822,0.00006038112,0.00001007318,0.00008154092,0.0007532282,0.00009241154,0.007299055],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005175444,"threshold_uncertainty_score":0.0173136,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01152428381021476,"score_gpt":0.2123634990329192,"score_spread":0.2008392152227045,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}